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Finding the Fourth Proportional to 2,641.61, 3,960.90 and 792.38

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Solution

The fourth proportional to 2,641.61, 3,960.90 and 792.38 is: 1,188.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.61 : 3,960.90 = 792.38 : x
  2. Step 2: Convert to fraction form
    2,641.61/3,960.90 = 792.38/x
  3. Step 3: Cross multiply
    2,641.61x = 3,960.90 × 792.38
  4. Step 4: Simplify right side
    2,641.61x = 3,138,547.84
  5. Step 5: Solve for x
    x = 3,138,547.84/2,641.61
  6. Step 6: Final answer
    x = 1,188.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.